The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor if its area is 216 sq meters.

The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor if its area is 216 sq meters.

A 40

B 50

C 60

D 44

Solution

Correct Answer: Option C

Let, breadth = x

So, X×(3/2)x = 216

=> 3x2/2= 216

=> x2 = (216×2)/3

=> x2 = 144

=> x = 12

So, Breadth = 12, Length = (3/2)×12 = 18

So, perimeter of the floor = 2(12+18) = 60 (Ans.)